Education Technology

# Activities

• ##### Subject Area

• Math: Statistics: Normal Distributions

9-12

45 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.2

## Z-Scores

#### Activity Overview

This lesson involves finding the area under the standard normal curve with mean 0 and standard deviation 1 for a given distance from the mean and compare this to the area under the curve for another member of the family of normal curves.

#### Objectives

• Students will identify the percent of area under any normal curve that is 1, 2, or 3 standard deviation units from the mean.
• Students will recognize that for any member of the family of normal curves, the areas whose boundaries are the same number of standard deviations from the respective means of the curves are always equal.

#### Vocabulary

• z-score
• probability density function
• mean
• symmetry
• standard deviation
• standard normal curve